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Finding the Fourth Proportional to 8,114.60, 12,171.90 and 5,198.60

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Solution

The fourth proportional to 8,114.60, 12,171.90 and 5,198.60 is: 7,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.60 : 12,171.90 = 5,198.60 : x
  2. Step 2: Convert to fraction form
    8,114.60/12,171.90 = 5,198.60/x
  3. Step 3: Cross multiply
    8,114.60x = 12,171.90 × 5,198.60
  4. Step 4: Simplify right side
    8,114.60x = 63,276,839.34
  5. Step 5: Solve for x
    x = 63,276,839.34/8,114.60
  6. Step 6: Final answer
    x = 7,797.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.